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Simplifying x2 + 18x + 81 = x2 + ax + 81 Reorder the terms: 81 + 18x + x2 = x2 + ax + 81 Reorder the terms: 81 + 18x + x2 = 81 + ax + x2 Add '-81' to each side of the equation. 81 + 18x + -81 + x2 = 81 + ax + -81 + x2 Reorder the terms: 81 + -81 + 18x + x2 = 81 + ax + -81 + x2 Combine like terms: 81 + -81 = 0 0 + 18x + x2 = 81 + ax + -81 + x2 18x + x2 = 81 + ax + -81 + x2 Reorder the terms: 18x + x2 = 81 + -81 + ax + x2 Combine like terms: 81 + -81 = 0 18x + x2 = 0 + ax + x2 18x + x2 = ax + x2 Add '-1x2' to each side of the equation. 18x + x2 + -1x2 = ax + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18x + 0 = ax + x2 + -1x2 18x = ax + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18x = ax + 0 18x = ax Solving 18x = ax Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1ax' to each side of the equation. -1ax + 18x = ax + -1ax Combine like terms: ax + -1ax = 0 -1ax + 18x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1a + 18) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1a + 18)' equal to zero and attempt to solve: Simplifying -1a + 18 = 0 Reorder the terms: 18 + -1a = 0 Solving 18 + -1a = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1a = 0 + -18 -1a = 0 + -18 Combine like terms: 0 + -18 = -18 -1a = -18 Add 'a' to each side of the equation. -1a + a = -18 + a Combine like terms: -1a + a = 0 0 = -18 + a Simplifying 0 = -18 + a The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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